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Finding the Fourth Proportional to 313.98, 433.34 and 261.45

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Solution

The fourth proportional to 313.98, 433.34 and 261.45 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.98 : 433.34 = 261.45 : x
  2. Step 2: Convert to fraction form
    313.98/433.34 = 261.45/x
  3. Step 3: Cross multiply
    313.98x = 433.34 × 261.45
  4. Step 4: Simplify right side
    313.98x = 113,296.74
  5. Step 5: Solve for x
    x = 113,296.74/313.98
  6. Step 6: Final answer
    x = 360.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.